199628352 has 252 divisors, whose sum is σ = 727258896. Its totient is φ = 51770880.

The previous prime is 199628327. The next prime is 199628371. The reversal of 199628352 is 253826991.

199628352 is a `hidden beast` number, since 19 + 9 + 628 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 199628298 and 199628307.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310143 + ... + 310785.

It is an arithmetic number, because the mean of its divisors is an integer number (2885948).

Almost surely, 2^199628352 is an apocalyptic number.

199628352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363629448).

199628352 is an abundant number, since it is smaller than the sum of its proper divisors (527630544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199628352 is a wasteful number, since it uses less digits than its factorization.

199628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 666 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 199628352 is about 14128.9897728040. The cubic root of 199628352 is about 584.4410879226.

The spelling of 199628352 in words is "one hundred ninety-nine million, six hundred twenty-eight thousand, three hundred fifty-two".